Regularization and image restoration using differential equations

Yu Li You, M. Kaveh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

Linear image restoration is posted as a solution to a set of ordinary differential equations (ODE). Explicit and implicit Euler's methods are used to integrate this set of ODE's. The explicit method introduces a regularization operator to the Van Cittert's method while the implicit method leads to the Tikhonov-Miller restoration. Since both methods are simply numerical integration procedures for the same set of ODE's, the extended Van Cittert's method and the Tikhonov-Miller method are shown to be approximately equivalent in performance if a conversion formula is followed. An analysis of the difference between the restorations by the two methods is included, as well as the ramifications of this conversion formula.

Original languageEnglish (US)
Title of host publicationImage and Multidimensional Signal Processing
PublisherPubl by IEEE
PagesV-285-V-288
ISBN (Print)0780309464
StatePublished - Jan 1 1993
EventIEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5) - Minneapolis, MN, USA
Duration: Apr 27 1993Apr 30 1993

Publication series

NameProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Volume5
ISSN (Print)0736-7791

Other

OtherIEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5)
CityMinneapolis, MN, USA
Period4/27/934/30/93

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